adding 2:00pm notes + reorganization

Author: Gordie Novak

…Markdowns/Week 1/0: Week 1—Full Notes.md To-Do Markdowns/June 3rd.mdTo-Do Markdowns/Week 1/0: Week 1—Full Notes.md renamed to To-Do Markdowns/June 3rd.md To-Do Markdowns/Week 1/0: Week 1—Full Notes.md renamed to To-Do Markdowns/June 3rd.md

@@ -1,4 +1,4 @@
-## June 3rd, 9:00 AM
+### Meeting, 9:00-10:00 AM
 #### M2 Workshop @ Madison
 * Book Accomodations  
 What **hotel/apartment** are we staying at?  
@@ -36,7 +36,7 @@ We will try and achieve  goals for **Mathematical Theory development**, **Coding
 * Professional Development workshop on Wednesday 12-1
 * Fix typos, give feedback on papers
 
-## June 3rd, 12:00 PM
+### Meeting, 12:00-12:30 PM
 #### Book Topics
 We will cover the various topics that the new textbook should cover to educate new people on the processes for this CURI Project.
 * Representation Theory
@@ -51,8 +51,37 @@ We will cover the various topics that the new textbook should cover to educate n
 
 Here are some additional notes on actually defining our behavior in our skew commutative ring:
 
-![Heyo](Wedge_Goodies.png)
+<img src="images/Wedge_Goodies.png" style="width:400px;">
 
 It's important to note that we define our wedge operation as:
 
-![Heyo](Wedge_Goodies2.png)
+<img src="images/Wedge_Goodies2.png" style="width:150px;">
+
+### Lecture, 2:00 PM
+Below are just some general housekeeping/professinal development stuff. 
+#### <u>References → Zotero</u>
+*\*Note, Zotero is an add-on for Chrome*
+* Neusel Invariant Theory Book
+* Derkeun- Keuniper Constructive Invariant-Theory Book
+* Schmid finite groups Invariant Theory  
+ *Gandini, thesis bibiography*
+* BibTeX use
+* Undergraduate journals
+
+<span style="color:blue">Involve, Pi Mu Epsilon, College Math Magazine?</span>
+
+### <u>Exercises for Practice</u>
+Remember from earlier, that we needed to do these exercises:
+1. Show the invariant rings is a subring
+2. Prove that the radical of an ideal is an ideal J(R)
+
+I'm working with [Sam](sumner9@stolaf.edu) so we're going to show that the invariant ring is a subring. 
+> First, we show that the **multiplicative identity** is in our invariant Ring.  
+> We just know that this is the case because <img src="images/identity1.png" style="width:50px">.
+> 
+> Now, we want to show that its **closed under addition**. 
+><img src="images/additive.png" style="width:400px">
+>
+> Now we're gonna show that it's closed under multiplication.
+> <img src="images/closure.png" style="width:400px">
+> And then we proved it i guess.